Coupling between time reversal and the space-time symmetries of the de Sitter universe

Details Coupling between time reversal and the space-time symmetries of the de Sitter universe Coupling between time reversal and the space-time symmetries of the de Sitter universe

May 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd...9.2710m&link_type=abstract

Physical Review D, vol. 9, Issue 10, pp. 2710-2716

Physics

Scientific paper

We discuss timelike reflections through spacelike hyperspheres in a de Sitter universe of positive curvature as the natural generalization of timelike reflections through spacelike hyperplanes in the flat Minkowski universe. Taking into account the well-known problem concerning the eigenvalue spectrum of the generator of time displacements in the de Sitter universe we derive equations of motion for linear as well as antilinear operators of motion reversal on spacelike hyperspheres. It is shown that the entire connected component of the homogeneous de Sitter group SO(1,4) may be constructed for either operator.

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